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Simplifying
0.2x2 = 2.4x2 + -8.5
Reorder the terms:
0.2x2 = -8.5 + 2.4x2
Solving
0.2x2 = -8.5 + 2.4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2.4x2' to each side of the equation.
0.2x2 + -2.4x2 = -8.5 + 2.4x2 + -2.4x2
Combine like terms: 0.2x2 + -2.4x2 = -2.2x2
-2.2x2 = -8.5 + 2.4x2 + -2.4x2
Combine like terms: 2.4x2 + -2.4x2 = 0.0
-2.2x2 = -8.5 + 0.0
-2.2x2 = -8.5
Divide each side by '-2.2'.
x2 = 3.863636364
Simplifying
x2 = 3.863636364
Take the square root of each side:
x = {-1.965613483, 1.965613483}
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